Path integral for a Dirac particle in a quantized plane wave fieldB. Bentag, A. Merdaci and L. Chetouani
Département de Physique, Faculté des Sciences, Université Mentouri, 25000 Constantine, Algeria
(Received: 26 July 2002 / Revised version: 11 September 2002 / Published online: 25 October 2002 )
The problem of a relativistic spinning particle interacting with a quantized electromagnetic plane wave is treated by employing path integral methods and introducing the notion of a coherent state action. The dynamics of the particle spin is described using the supersymmetric action proposed recently by Alexandrou et al. in the so-called global representation. It is shown that to obtain the relative causal Green function, two fermionic identities, related directly to the classical equations of motion, have to be incorporated. The Green function, as constructed, allows us to extract in a natural way the expressions of the corresponding energy spectrum and wave functions.
© Società Italiana di Fisica, Springer-Verlag 2002